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Finding the Third Proportional to 378,502 and 824,204

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Solution

The third proportional to 378,502 and 824,204 is: 1,794,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,502 : 824,204 = 824,204 : x
  2. Step 2: Convert to fraction form
    378,502/824,204 = 824,204/x
  3. Step 3: Cross multiply
    378,502x = 824,204 × 824,204
  4. Step 4: Simplify right side
    378,502x = 679,312,233,616
  5. Step 5: Solve for x
    x = 679,312,233,616/378,502
  6. Step 6: Final answer
    x = 1,794,738.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.